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Error-correcting WOM-codes

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2 Author(s)
Zemor, G. ; Dept. Reseaux, ENST, Paris, France ; Cohen, G.

A problem raised by R.L. Rivest and A. Shamir (1982), namely, constructing write-once-memory (WOM) codes capable of error correction, is considered. The authors call a (n,m,t)-WOM code a scheme that allows t successive writings of m arbitrary bits (i.e., one message among 2m) on a WOM of size n. WOM codes have been studied from an information-theoretic viewpoint by J.K. Wolf et al. (1984) and constructed using classical coding theory by G.D. Cohen et al. (1986, 1987) (for example, with parameters, (23,11,3), (2m-1,m,2m-2+2m-4+1)). The authors adapt those methods in order to solve the problem raised by Rivest. Large classes of easily decodable single-error-correcting WOM codes are obtained.

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Information Theory, IEEE Transactions on  (Volume:37 ,  Issue: 3 )